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Finding the Fourth Proportional to 8,565.04, 11,816.34 and 5,206.72

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Solution

The fourth proportional to 8,565.04, 11,816.34 and 5,206.72 is: 7,183.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,565.04 : 11,816.34 = 5,206.72 : x
  2. Step 2: Convert to fraction form
    8,565.04/11,816.34 = 5,206.72/x
  3. Step 3: Cross multiply
    8,565.04x = 11,816.34 × 5,206.72
  4. Step 4: Simplify right side
    8,565.04x = 61,524,373.80
  5. Step 5: Solve for x
    x = 61,524,373.80/8,565.04
  6. Step 6: Final answer
    x = 7,183.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.